13.468 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.016 * * * [progress]: [2/2] Setting up program.
0.018 * [progress]: [Phase 2 of 3] Improving.
0.018 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (sqrt (+ (* x x) y))
0.021 * * [simplify]: iteration  0 :  7  enodes  (cost  3 )
0.023 * * [simplify]: iteration  1 :  7  enodes  (cost  3 )
0.023 * [simplify]: Simplified to:
   (sqrt (+ (* x x) y))
0.024 * * [progress]: iteration 1 / 4
0.024 * * * [progress]: picking best candidate
0.025 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.025 * * * [progress]: localizing error
0.030 * * * [progress]: generating rewritten candidates
0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.034 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.039 * * * [progress]: generating series expansions
0.039 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.039 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.039 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.039 * [taylor]: Taking taylor expansion of x in y
0.039 * [taylor]: Taking taylor expansion of y in y
0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.040 * [taylor]: Taking taylor expansion of x in x
0.040 * [taylor]: Taking taylor expansion of y in x
0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.041 * [taylor]: Taking taylor expansion of x in x
0.041 * [taylor]: Taking taylor expansion of y in x
0.041 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.041 * [taylor]: Taking taylor expansion of y in y
0.043 * [taylor]: Taking taylor expansion of 0 in y
0.044 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.044 * [taylor]: Taking taylor expansion of 1/2 in y
0.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.044 * [taylor]: Taking taylor expansion of y in y
0.049 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.049 * [taylor]: Taking taylor expansion of x in y
0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.049 * [taylor]: Taking taylor expansion of y in y
0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.051 * [taylor]: Taking taylor expansion of x in x
0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.051 * [taylor]: Taking taylor expansion of y in x
0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.053 * [taylor]: Taking taylor expansion of x in x
0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.054 * [taylor]: Taking taylor expansion of y in x
0.056 * [taylor]: Taking taylor expansion of 1 in y
0.056 * [taylor]: Taking taylor expansion of 0 in y
0.057 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.057 * [taylor]: Taking taylor expansion of 1/2 in y
0.057 * [taylor]: Taking taylor expansion of y in y
0.060 * [taylor]: Taking taylor expansion of 0 in y
0.062 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.062 * [taylor]: Taking taylor expansion of -1/8 in y
0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.062 * [taylor]: Taking taylor expansion of y in y
0.064 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.064 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.064 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.064 * [taylor]: Taking taylor expansion of x in y
0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.064 * [taylor]: Taking taylor expansion of y in y
0.066 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.066 * [taylor]: Taking taylor expansion of x in x
0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.066 * [taylor]: Taking taylor expansion of y in x
0.068 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.068 * [taylor]: Taking taylor expansion of x in x
0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.069 * [taylor]: Taking taylor expansion of y in x
0.071 * [taylor]: Taking taylor expansion of 1 in y
0.071 * [taylor]: Taking taylor expansion of 0 in y
0.073 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.073 * [taylor]: Taking taylor expansion of -1/2 in y
0.073 * [taylor]: Taking taylor expansion of y in y
0.075 * [taylor]: Taking taylor expansion of 0 in y
0.078 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.078 * [taylor]: Taking taylor expansion of -1/8 in y
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.078 * [taylor]: Taking taylor expansion of y in y
0.080 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.080 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.080 * [taylor]: Taking taylor expansion of x in y
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.080 * [taylor]: Taking taylor expansion of x in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.080 * [taylor]: Taking taylor expansion of x in x
0.080 * [taylor]: Taking taylor expansion of y in x
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.081 * [taylor]: Taking taylor expansion of 1 in y
0.081 * [taylor]: Taking taylor expansion of 0 in y
0.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.082 * [taylor]: Taking taylor expansion of x in y
0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.082 * [taylor]: Taking taylor expansion of y in y
0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.082 * [taylor]: Taking taylor expansion of x in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.083 * [taylor]: Taking taylor expansion of y in x
0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.083 * [taylor]: Taking taylor expansion of y in x
0.084 * [taylor]: Taking taylor expansion of 1 in y
0.085 * [taylor]: Taking taylor expansion of 0 in y
0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.086 * [taylor]: Taking taylor expansion of y in y
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.089 * [taylor]: Taking taylor expansion of 0 in y
0.090 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.090 * [taylor]: Taking taylor expansion of x in y
0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.090 * [taylor]: Taking taylor expansion of y in y
0.090 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.091 * [taylor]: Taking taylor expansion of y in x
0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.091 * [taylor]: Taking taylor expansion of x in x
0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.091 * [taylor]: Taking taylor expansion of y in x
0.092 * [taylor]: Taking taylor expansion of 1 in y
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.094 * [taylor]: Taking taylor expansion of y in y
0.096 * [taylor]: Taking taylor expansion of 0 in y
0.104 * [taylor]: Taking taylor expansion of 0 in y
0.104 * * * [progress]: simplifying candidates
0.105 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (expm1 (+ (* x x) y))
  (log1p (+ (* x x) y))
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.109 * * [simplify]: iteration  0 :  153  enodes  (cost  160 )
0.113 * * [simplify]: iteration  1 :  518  enodes  (cost  146 )
0.124 * * [simplify]: iteration  2 :  1716  enodes  (cost  138 )
0.160 * * [simplify]: iteration  3 :  5002  enodes  (cost  136 )
0.162 * [simplify]: Simplified to:
   (expm1 (sqrt (+ (* x x) y)))
  (log1p (sqrt (+ (* x x) y)))
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (pow (hypot x (pow y 1/2)) 3)
  (fabs (cbrt (+ (* x x) y)))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  1
  (hypot x (pow y 1/2))
  (hypot (pow y 3/2) (pow x 3))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  1/2
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (expm1 (+ (* x x) y))
  (log1p (+ (* x x) y))
  (exp (+ (* x x) y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (pow (fma x x y) 3)
  (hypot x (pow y 1/2))
  (hypot x (pow y 1/2))
  (fma (pow y 2) y (pow x 6))
  (fma y (- y (pow x 2)) (pow x 4))
  (- (pow x 4) (pow y 2))
  (- (* x x) y)
  (* +nan.0 (fma (- x) x (fma y y (- y))))
  (fma 1/2 (/ y x) x)
  (- (+ x (* 1/2 (/ y x))))
  (fma x x y)
  (fma x x y)
  (fma x x y)
0.162 * * * [progress]: adding candidates to table
0.249 * * [progress]: iteration 2 / 4
0.249 * * * [progress]: picking best candidate
0.253 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (fma x x y)))>
0.253 * * * [progress]: localizing error
0.257 * * * [progress]: generating rewritten candidates
0.257 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.260 * * * [progress]: generating series expansions
0.260 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.260 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0
0.260 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y
0.260 * [taylor]: Taking taylor expansion of (fma x x y) in y
0.260 * [taylor]: Rewrote expression to (+ (* x x) y)
0.260 * [taylor]: Taking taylor expansion of (* x x) in y
0.260 * [taylor]: Taking taylor expansion of x in y
0.260 * [taylor]: Taking taylor expansion of x in y
0.260 * [taylor]: Taking taylor expansion of y in y
0.261 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.261 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.261 * [taylor]: Rewrote expression to (+ (* x x) y)
0.261 * [taylor]: Taking taylor expansion of (* x x) in x
0.261 * [taylor]: Taking taylor expansion of x in x
0.261 * [taylor]: Taking taylor expansion of x in x
0.261 * [taylor]: Taking taylor expansion of y in x
0.262 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.262 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.262 * [taylor]: Rewrote expression to (+ (* x x) y)
0.262 * [taylor]: Taking taylor expansion of (* x x) in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [taylor]: Taking taylor expansion of y in x
0.263 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.263 * [taylor]: Taking taylor expansion of y in y
0.265 * [taylor]: Taking taylor expansion of 0 in y
0.266 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.266 * [taylor]: Taking taylor expansion of 1/2 in y
0.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.266 * [taylor]: Taking taylor expansion of y in y
0.271 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0
0.271 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y
0.271 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y
0.271 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.271 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.271 * [taylor]: Taking taylor expansion of x in y
0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.271 * [taylor]: Taking taylor expansion of x in y
0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.271 * [taylor]: Taking taylor expansion of y in y
0.273 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.273 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.273 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.273 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.273 * [taylor]: Taking taylor expansion of x in x
0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.273 * [taylor]: Taking taylor expansion of x in x
0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.274 * [taylor]: Taking taylor expansion of y in x
0.280 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.280 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.280 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.280 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.280 * [taylor]: Taking taylor expansion of x in x
0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.280 * [taylor]: Taking taylor expansion of x in x
0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.281 * [taylor]: Taking taylor expansion of y in x
0.283 * [taylor]: Taking taylor expansion of 1 in y
0.283 * [taylor]: Taking taylor expansion of 0 in y
0.286 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.286 * [taylor]: Taking taylor expansion of 1/2 in y
0.286 * [taylor]: Taking taylor expansion of y in y
0.288 * [taylor]: Taking taylor expansion of 0 in y
0.292 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.292 * [taylor]: Taking taylor expansion of -1/8 in y
0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.292 * [taylor]: Taking taylor expansion of y in y
0.293 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0
0.294 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y
0.294 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y
0.294 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.294 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.294 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.294 * [taylor]: Taking taylor expansion of -1 in y
0.294 * [taylor]: Taking taylor expansion of x in y
0.294 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.294 * [taylor]: Taking taylor expansion of -1 in y
0.294 * [taylor]: Taking taylor expansion of x in y
0.294 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.294 * [taylor]: Taking taylor expansion of -1 in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.296 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.296 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.296 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.296 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.296 * [taylor]: Taking taylor expansion of -1 in x
0.296 * [taylor]: Taking taylor expansion of x in x
0.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.296 * [taylor]: Taking taylor expansion of -1 in x
0.296 * [taylor]: Taking taylor expansion of x in x
0.296 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.297 * [taylor]: Taking taylor expansion of -1 in x
0.297 * [taylor]: Taking taylor expansion of y in x
0.299 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.299 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.299 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.299 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.299 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.299 * [taylor]: Taking taylor expansion of -1 in x
0.299 * [taylor]: Taking taylor expansion of x in x
0.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.300 * [taylor]: Taking taylor expansion of -1 in x
0.300 * [taylor]: Taking taylor expansion of x in x
0.300 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.300 * [taylor]: Taking taylor expansion of -1 in x
0.300 * [taylor]: Taking taylor expansion of y in x
0.303 * [taylor]: Taking taylor expansion of 1 in y
0.303 * [taylor]: Taking taylor expansion of 0 in y
0.305 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.305 * [taylor]: Taking taylor expansion of -1/2 in y
0.305 * [taylor]: Taking taylor expansion of y in y
0.308 * [taylor]: Taking taylor expansion of 0 in y
0.311 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.311 * [taylor]: Taking taylor expansion of -1/8 in y
0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.311 * [taylor]: Taking taylor expansion of y in y
0.313 * * * [progress]: simplifying candidates
0.313 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (expm1 (sqrt (fma x x y)))
  (log1p (sqrt (fma x x y)))
  (log (sqrt (fma x x y)))
  (exp (sqrt (fma x x y)))
  (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))
  (cbrt (sqrt (fma x x y)))
  (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y)))
  (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y))))
  (sqrt (cbrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt 1)
  (sqrt (fma x x y))
  (/ 1 2)
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
0.317 * * [simplify]: iteration  0 :  76  enodes  (cost  64 )
0.319 * * [simplify]: iteration  1 :  185  enodes  (cost  59 )
0.324 * * [simplify]: iteration  2 :  616  enodes  (cost  58 )
0.338 * * [simplify]: iteration  3 :  2525  enodes  (cost  56 )
0.403 * * [simplify]: iteration  4 :  5001  enodes  (cost  56 )
0.404 * [simplify]: Simplified to:
   (expm1 (sqrt (fma x x y)))
  (log1p (sqrt (fma x x y)))
  (log (sqrt (fma x x y)))
  (exp (sqrt (fma x x y)))
  (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))
  (cbrt (sqrt (fma x x y)))
  (pow (sqrt (fma x x y)) 3)
  (fabs (cbrt (fma x x y)))
  (sqrt (cbrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  1
  (sqrt (fma x x y))
  1/2
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (* +nan.0 (fma (- x) x (- (pow y 2) y)))
  (fma 1/2 (/ y x) x)
  (- (+ x (* 1/2 (/ y x))))
0.404 * * * [progress]: adding candidates to table
0.441 * * [progress]: iteration 3 / 4
0.441 * * * [progress]: picking best candidate
0.444 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.444 * * * [progress]: localizing error
0.449 * * * [progress]: generating rewritten candidates
0.450 * * * [progress]: generating series expansions
0.450 * * * [progress]: simplifying candidates
0.450 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.452 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.453 * [simplify]: Simplified to:
   
0.453 * * * [progress]: adding candidates to table
0.453 * * [progress]: iteration 4 / 4
0.453 * * * [progress]: picking best candidate
0.454 * * * * [pick]: Picked  #<alt (λ (x y) (fma 1/2 (/ y x) x))>
0.454 * * * [progress]: localizing error
0.459 * * * [progress]: generating rewritten candidates
0.459 * * * [progress]: generating series expansions
0.459 * * * [progress]: simplifying candidates
0.459 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   
0.462 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
0.462 * [simplify]: Simplified to:
   
0.462 * * * [progress]: adding candidates to table
0.462 * [progress]: [Phase 3 of 3] Extracting.
0.462 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.463 * * * [regime-changes]: Trying 2 branch expressions: (y x)
0.463 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.491 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.516 * * * [regime]: Found split indices: #<option (#s(si 1 61) #s(si 0 210) #s(si 2 255))>
0.517 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.559 * [regimes]: Found splitpoints: (#s(sp 1 x -1.3498784301045228e+154) #s(sp 0 x 7.197273515945126e+126) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))> #<alt (λ (x y) (fma 1/2 (/ y x) x))>)
0.560 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -1.3498784301045228e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 7.197273515945126e+126) (sqrt (fma x x y)) (fma 1/2 (/ y x) x)))
0.560 * * [simplify]: iteration  0 :  21  enodes  (cost  8 )
0.561 * * [simplify]: iteration  1 :  28  enodes  (cost  8 )
0.561 * * [simplify]: iteration  2 :  30  enodes  (cost  8 )
0.561 * * [simplify]: iteration  3 :  30  enodes  (cost  8 )
0.562 * [simplify]: Simplified to:
   (if (<= x -1.3498784301045228e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 7.197273515945126e+126) (sqrt (fma x x y)) (fma 1/2 (/ y x) x)))
1.089 * [regime-testing]: Baseline error score: 21.277784723090388
1.090 * [regime-testing]: Oracle error score: 0.002250281285160645
1.091 * [regime-testing]: End program error score: 0.07207729455200623
1.124 * [regime-testing]: Target error score: 0.4709455906296374